Publications:

• Asymptotics of the Néron height pairing.
  Preprint.
• Asymptotic behavior of the Kawazumi-Zhang invariant for degenerating Riemann surfaces.
  Asian Journal of Mathematics, to appear.
• Normal functions and the height of Gross-Schoen cycles.
  To appear in Nagoya Mathematical Journal.
• Second variation of Zhang's λ-invariant on the moduli space of curves.
  American Journal of Mathematics 135 (2013), 275--290.
• Geometry and Arithmetic.
  C. Faber, G. Farkas, R. de Jong (eds.), EMS Series of Congress Reports, EMS Publishing House, 2012.
• Special values of canonical Green's functions.
  Mathematische Zeitschrift, DOI 10.1007/s00209-012-1064-2.
• Conjecture de Shafarevitch effective pour les revêtements cycliques. (joint with Gaël Rémond)
  Algebra and Number Theory 5 (2011), 1133--1143.
• Local heights on Galois covers of the projective line.
  Acta Arithmetica 152 (2012), 51--70.
• One half log discriminant and division polynomials.
  Archiv der Mathematik 97 (2011), 251--257.
• Symmetric roots and admissible pairing.
  Transactions of the AMS 363 (2011), 4263--4283.
• Short introduction to heights and Arakelov theory. (joint with Bas Edixhoven)
  In: J.-M. Couveignes, B. Edixhoven (eds.), Computational aspects of Modular Forms and Galois Representations. Annals of Mathematics Studies 176, Princeton University Press 2011.
• Applying Arakelov theory. (joint with Bas Edixhoven)
  In: J.-M. Couveignes, B. Edixhoven (eds.), Computational aspects of Modular Forms and Galois Representations. Annals of Mathematics Studies 176, Princeton University Press 2011.
• Bounds for Arakelov invariants of modular curves. (joint with Bas Edixhoven)
  In: J.-M. Couveignes, B. Edixhoven (eds.), Computational aspects of Modular Forms and Galois Representations. Annals of Mathematics Studies 176, Princeton University Press 2011.
• Admissible constants for genus 2 curves.
  Bulletin of the LMS 42 (2010), 405--411.
• Covers of surfaces with fixed branch locus. (joint with Bas Edixhoven and Jan Schepers)
  Int. Jnl. Math 21 (2010), 859--874.
• Local invariants attached to Weierstrass points.
  Manuscripta Math. 129 (2009), 273--292.
• Gauss map on the theta divisor and Green's functions.
  In: B. Edixhoven, G. van der Geer and B. Moonen (eds.), Modular Forms on Schiermonnikoog. Cambridge University Press 2008.
• Theta functions on the theta divisor.
  Rocky Mountain Jnl. Math. 40 (2010), 155--176.
• Explicit Mumford isomorphism for hyperelliptic curves.
  Jnl. pure appl. Algebra 208 (2007), 1--14.
• Arakelov invariants of Riemann surfaces.
  Doc. Math. 10 (2005), 311--329.
• Faltings' delta-invariant of a hyperelliptic Riemann surface.
  In: G. van der Geer, B. Moonen, R. Schoof (eds.), Number Fields and Function Fields -- Two Parallel Worlds. Progress in Mathematics vol. 239, Birkhäuser Verlag 2005.
• On the Arakelov theory of elliptic curves.
  l'Enseignement Mathématique 51 (2005), 179--201.
• Explicit Arakelov geometry.
  PhD-thesis, University of Amsterdam, December 2004. Book is available on request.